偏序集间映射的扩张

摘要：

给出了偏序集到其Dedekind序完备化的映射的各种可能的扩展。其中一个这样的扩展最近已被用于解决大类的非线性系统的偏微分方程与可能相关的初始和/或边值问题。

英文摘要：

A variety of possible extensions of mappings between posets to their Dedekind order completion is presented. One of such extensions has recently been used for solving large classes of nonlinear systems of partial differential equations with possibly associated initial and/or boundary value problems.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。